The perimeter of a rectangle is 70. The length of the rectangle is represented by (x+3) and the width is represented by (3x-8).

Question

3 years ago

5

What are the dimensions of the rectangle?

1 answer:

otez555 [7] · Answer 1 · 2022-04-30T17:13:16+03:00

Answer: length = 13

Width = 22

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length × width)

The length of the rectangle is represented by (x+3) and the width is represented by (3x-8). If the perimeter of a rectangle is 70, it means that

2[(3x - 8) + (x + 3)] = 70

Dividing both sides of the equation by 2, it becomes

3x - 8 + x + 3 = 35

3x + x - 8 + 3 = 35

4x - 5 = 35

4x = 35 + 5 = 40

x = 40/4

x = 10

Length = x + 3 = 10 + 3

Length = 13

Width = 3x - 8 = 3 × 10 - 8

Width = 22